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(a) Jobs are sent to a printer at an average of 4 jobs per hour.
(i) What is the expected time between jobs?(ii) What is the probability that a job is sent within 5 minutes?(iii) How long does it take at most, to have the arrival of the first job with a probability of 0.9? Give your answer in minutes.(iv) Suppose that the first job was sent at 9.30 a.m.* What is the probability that the printer gets the second job before 9.45 a.m.?* What is the probability that the second job arrives after 9.45 a.m.? How do you relate this to a Poisson distribution?
(b) An enhancement is performed in a type of plant in order to improve the yield of the plant. With such enhancement, the germination rate is claimed to be 90%. To evaluate, 60 seeds are planted in a greenhouse and the number of seeds that germinate X is recorded.
(i) Explain why X is a binomial random variable.(ii) What is the probability that at least 55 seeds will germinate?(iii) Find the mean and standard deviation of X(iv) Repeat (ii) using normal approximation method. Determine the suitability of the normal approximation
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 22 eggs per month with a standard deviation of 2.03 eggs per month.
Carry out a significance test for the hypothesis that the two tests have the same population mean. Give the P-value and state your conclusions.
The booster club has gotten several businesses and car dealers to donate gasoline and cars for the college students to use to make a maximum of 575 personal contacts daily during the fund-raising drive. The college student will donate a total of 2..
Private university loan default rate is below the rate for all universities, using a left-tailed test at s=.01? Calculate the p-value. Verfify the assumption of normality is justified
Find the probability that a sample of 16 tires will have an average tire life of more than 52000 miles, give that the mean tire life is 50000miles and the standard Deviation is 8489.13.
In the other group 40 out of 80 favored capital punishment. Calculate an appropriate test value to test the hypothesis that the population proportions are the same.
1. according to the yankee group 53 of all cable households rate cable companies as good or excellent in quality
The statistical analysis predicted that there would be 104 foxes. Calculate the residual for that data point.
Identify the sampling distribution to be used: the standard normal distribution or the Student's t distribution. Find the critical value(s).
A random sample of 100 people was taken. Eighty of the people in the sample favored candidate A. The 95% confidence interval for the true proportion of people who favor Candidate A is?
Probability calculations reveal the following information. The probability of a favourable research report = 0.59. The probability of high sales given a favourable research report = 0.95. The probability of high sales given an unfavourable research r..
ten randomly selected automobiles were stopped and the tread depth of the right tire was measured. the mean was 0.8 cm
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